This set of Engineering Mathematics Multiple Choice Questions & Answers (MCQs) focuses on “Indeterminate Forms – 1”.

1. Find

a) e

b) 1

c) e^{2}

d) ^{1}⁄_{e}

View Answer

Explanation: Use the form

lt_{ x→ ∞}(1 + f(x))^{g(x)} = e^{lt x→ ∞ f(x) * g(x)}

Provided as x → ∞ we must have

f(x) → 0

g(x) → ∞

These conditions are met in our question

L = e^{1} = e.

2. Find

a) 0

b) 1

c) Undefined

d) – ^{1}⁄_{35}

View Answer

Explanation: The form here is of

^{0}⁄

_{0}

Applying L hospitals rule would be really tough to differentiate. Hence we use the concept of Taylor Series

3. Find

a) ^{1}⁄_{a}

b) 1

c) 1 – cos(1)

d) 0

View Answer

Explanation: We use the concept of limit of a sum which is

Hence, 1 – cos(1) is the right answer.

4. Find

a) 1

b) -1

c) 0

d) Undefined

View Answer

Explanation:

Hence, 0 is the right answer.

5. Find

a) 2

b) 1

c) 0

d) Undefined

View Answer

Explanation:

Hence, Undefined is the right answer.

6. Find

a) e

b) e^{-1}

c) 0

d) 1

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7. Find

a) 1

b) 0

c) ∞

d) ^{0}⁄_{0}

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8. Find

a) ln(2)

b) ln(4)

c) 3ln(2)

d) ^{1}⁄_{a}

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9. Find

a) 1

b) ^{1}⁄_{a + 1}

c) 0

d) Undefined

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10. Find

a) 0

b) 1

c) ∞

d) 10204 / 12221

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11. Find

a) 0

b) 1

c) ^{-4}⁄_{5}

d) -1

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12. Find

a) 1

b) 2

c) 4

d) 3

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13. Find

a) 1

b) ∞

c) 0

d) -1

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14. Find

a) ^{an} ⁄ _{bn}

b) ∞

c) No general form

d) ^{bn} ⁄ _{an}

View Answer

**Sanfoundry Global Education & Learning Series – Engineering Mathematics.**

To practice all areas of Engineering Mathematics, __here is complete set of 1000+ Multiple Choice Questions and Answers__.